In a synchrotron, electrons are accelerated to speeds close to the speed of light \(v \approx c \approx 3\times 10^{8}~\mbox{m/s}\) Suppose that in a synchrotron, 100 billion (\(10^{11}\)) electrons move in a circular orbit of circumference \(L=300~\mbox{m}\) . Determine the electric current **in Amps** due the flow of electrons in the synchrotron. You may assume that the electrons are homogeneously distributed over the circular orbit.

**Details and assumptions**

The magnitude of the charge of the electron is \(e=1.6\times 10^{-19}~\mbox{C}\).

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